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Finding the Fourth Proportional to 72,760.82, 109,164.02 and 46,272

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Solution

The fourth proportional to 72,760.82, 109,164.02 and 46,272 is: 69,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,760.82 : 109,164.02 = 46,272 : x
  2. Step 2: Convert to fraction form
    72,760.82/109,164.02 = 46,272/x
  3. Step 3: Cross multiply
    72,760.82x = 109,164.02 × 46,272
  4. Step 4: Simplify right side
    72,760.82x = 5,051,237,302.08
  5. Step 5: Solve for x
    x = 5,051,237,302.08/72,760.82
  6. Step 6: Final answer
    x = 69,422.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.